14 Time and Timetables MEP Y7 Practice Book B - … · MEP Y7 Practice Book B 20 14 Time and...

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20 14 Time and Timetables 14.1 Telling the Time In this section we look at different ways of writing times; for example, '7:45' is the same time as 'quarter to eight'. On a clockface, this can be represented as shown here: Also remember that one hour = 60 minutes so that half an hour = 30 minutes quarter of an hour = 15 minutes three quarters of an hour = 45 minutes Example 1 Write each time using digits and show the position of the hands on a clockface: (a) twenty five past eight, (b) quarter to ten. Solution (a) Twenty five past eight using digits is 8:25 (a) Quarter to ten can be thought of as: 15 minutes to 10 o'clock or 45 minutes past 9 o'clock so, using digits, quarter to ten is 9:45 1 2 3 4 6 7 8 9 10 11 12 5 hour hand minute hand 1 2 3 4 6 7 8 9 10 11 12 5 1 2 3 4 6 7 8 9 10 11 12 5

Transcript of 14 Time and Timetables MEP Y7 Practice Book B - … · MEP Y7 Practice Book B 20 14 Time and...

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14 Time and Timetables

14.1 Telling the TimeIn this section we look at different ways of writing times; for example, '7:45' is thesame time as 'quarter to eight'.

On a clockface, this can be represented asshown here:

Also remember that

one hour = 60 minutes

so that

half an hour = 30 minutes

quarter of an hour =15 minutes

three quarters of an hour = 45 minutes

Example 1

Write each time using digits and show the position of the hands on a clockface:

(a) twenty five past eight,

(b) quarter to ten.

Solution

(a) Twenty five past eight using digits is

8:25

(a) Quarter to ten can be thought of as:

15 minutes to 10 o'clock

or

45 minutes past 9 o'clock

so, using digits, quarter to ten is

9:45

12

3

4

678

9

1011 12

5

hour hand

minutehand

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

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Example 2

Write each of the times shown on these clocks:

(i) in words, and (ii) using digits.

(a) (b) (c)

Solution

(a) (i) Five past four (ii) 4:05

(b) (i) Ten to three (ii) 2:50

(c) (i) Twenty five to six (ii) 5:35

Exercises1. Write the times shown on each of these clocks in words and digits:

(a) (b) (c)

(d) (e) (f)

(g) (h) (i)

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

12

3

4

678

9

1011 12

5

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2. Draw these times on clock faces:

(a) ten past five (b) ten to nine (c) quarter to seven

(d) quarter past twelve (e) half past ten (f) twenty to nine

(g) ten to two (h) twenty five to six (i) twenty past four

3. Draw these times on clock faces:

(a) 4:00 (b) 5:30 (c) 7:15

(d) 8:20 (e) 2:45 (f) 3:50

(g) 1:55 (h) 6:05 (i) 11:35

4. Write these times in words:

(a) 9:30 (b) 4:00 (c) 4:25

(d) 8:45 (e) 7:35 (f) 9:05

5. Write these times using digits:

(a) eight o'clock (b) quarter to seven

(c) ten past five (d) half past six

(e) ten to three (f) five to four

(g) twenty five to nine (h) twenty to three

6. This picture shows the timeon Vicki's radio clock:

(a) Draw a picture to show where the hands would be on this clock:

12

3

4

678

9

1011 12

5

(b) Write the time in words.

7:42

14.1

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7. Daniel's digital watch has gone wrong and shows a grey blob instead of thefirst digit of the minutes.

Use the ordinary clock to tell Daniel what the missing digit is for each of thetimes shown below:

(a)

(b)

(c)

12

3

4

678

9

1011 12

5

8 4

12

3

4

678

9

1011 12

5

1 2

12

3

4

678

9

1011 12

5

1 61

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(d)

8. Halim looks at his watch and sees that the time is 7:46.

(a) Write this time in words.

(b) What will be the time 10 minutes later?

9. A bus leaves school at five minutes past four and Tony gets off 20 minuteslater. What is the time when Tony gets off the bus? Write your answers inwords and in figures.

14.2 12- and 24-hour ClocksThe 24-hour clock system can be used to tell if times are in the morning or theafternoon. Alternatively, times can be given as 'a.m.' or 'p.m.'

Example 1

Write these times in 24-hour clock time:

(a) 3.06 a.m. (b) 8:14 p.m.

Solution

(a) As this is an 'a.m.' time it remains the same but with a zero in front of the 3,

0306

(b) As this is a 'p.m.' time, add 12 to the hours to give

2014

Example 2

Write these times using 'a.m.' or 'p.m':

(a) 1428 (b) 0742

12

3

4

678

9

1011 12

5

0 41

14.1

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Solution

(a) As the hours figure, 14, is greater than 12, subtract 12 and write as a 'p.m.'time:

2:28 p.m.

(b) As the hours figure, 07, is less than 12, simply remove the zero and write asan 'a.m.' time:

7:42 a.m.

Exercises1. Convert these times to 24-hour clock times:

(a) 9:42 a.m. (b) 11:28 p.m. (c) 11:14 a.m.

(d) 7:13 p.m. (e) 9:21 p.m. (f) 4:18 p.m.

(g) 10:05 a.m. (h) 12:15 a.m. (i) 12:15 p.m.

2. Write these times in 24-hour clock time:

(a) quarter to eight in the morning, (b) ten minutes to midnight,

(c) ten past nine in the evening, (d) five to seven in the morning,

(e) quarter past five in the afternoon, (f)half past two in the afternoon.

3. Write these 24-hour clock times in 12-hour clock times, using 'a.m.' or'p.m.':

(a) 1204 (b) 0822 (c) 1842

(d) 1330 (e) 1440 (f) 2305

(g) 1735 (h) 1605 (i) 0342

4. Write these 24-hour clock times in words, as in question 2:

(a) 1430 (b) 1555 (c) 0745

5. Insert 'a.m.' or 'p.m.' into each sentence so that it makes sense:

(a) Joshua woke up at 6:45.

(b) Miles came home from school at 3:55.

(c) Andy started his night shift at 10:15.

(d) Grace ate her lunch at 11:45.

(e) James went to bed at 8:55.

(f) Heidi cooked a meal at 5:15.

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6. Here are the timings for a school day.

Convert them to 24-hour clock times.

7. A train leaves at 0020. Write this time in words.

8. Shamil leaves home at 0900 and returns 7 hours later. Write the time thatShamil gets home in 24-hour clock time, and in 12-hour clock time using'a.m.' or 'p.m.'.

14.3 Units of TimeIn this section we explore the different units of time.

Registration 8:55 a.m.

Lesson 1 9:05 a.m.

Lesson 2 10:05 a.m.

Lesson 3 11:05 a.m.

Lunch 12:05 p.m.

Lesson 4 1:05 p.m.

Lesson 5 2:05 p.m.

Day ends 3:05 p.m.

leap year)

1 minute = 60 seconds

1 hour = 60 minutes

1 day = 24 hours

1 week = 7 days

1 year = 365 days (366 days in a

January has 31 days

February has 28 days (29 days in a

March has 31 days

April has 30 days

May has 31 days

June has 30 days

July has 31 days

August has 31 days

September has 30 days

October has 31 days

November has 30 days

December has 31 days

leap year)

14.2

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Example 1

How many hours are there in May?

Solution

Number of hours in May = 31 24×

= 744 hours

Example 2

25 February is a Friday. What will be the date on the next Friday:

(a) if it is not a leap year,

(b) if it is a leap year?

Solution

(a) You could write out the next 7 days like this:

Friday 25

Saturday 26 or

Sunday 27 25 7 32+ =

Monday 28 32 28 4− =

Tuesday 1 So the next Friday will be 4 March.

Wednesday 2

Thursday 3

Friday 4

(b) Using the addition method:

25 7+ = 32

32 29− = 3

So, in a leap year, the next Friday will be 3 March.

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Exercises1. How many hours are there in a week?

2. How many hours are there in:

(a) September,

(b) February (2 answers needed),

(c) one year (2 answers needed)?

3. How many minutes are there in:

(a) one day, (b) one week?

4. How many seconds are there in:

(a) one hour, (b) one day?

5. If 25 March is a Friday, what will be the date on the following Friday?

6. Sasha goes on holiday on Monday 20 June. She returns 14 days later.On what date does she return from her holiday?

7. If 3 October is a Monday:

(a) what day of the week will 1 November be,

(b) what will be the date of the first Monday in November?

8. Hannah goes to the bank every Tuesday. The last time she went was onTuesday 20 October.

(a) What will be the dates of her next 2 visits to the bank?

(b) On the second Tuesday in November she is ill and goes to the bank onWednesday instead. What is the date of that Wednesday?

9. This year Mike's birthday is on a Saturday in June. What day will hisbirthday be on next year if:

(a) next year is a leap year,

(b) next year is not a leap year?

10. In 1998, Christmas Day was on a Friday. Name the day of the week forChristmas Day in:

(a) 1997,

(b) 2000.

14.3

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11. (a) For how many days have you been alive?

(b) How many hours is this?

(c) How many minutes is this?

(d) How many seconds is this?

(e) David has been alive for approximately 1 892 160 000 seconds.In which year do you think he was born?

14.4 TimetablesIn this section we consider how to extract information from timetables.

Example 1

19151945

–2015

––––––

2035–

20512110

–––––––

190319351949200920222037204220532108

––––––––––––

1930200320172036

–––––

20492105

–2117

––––––––

2000203020442103

––––-––

2129––

2149–

22052225223722442257

2030210021142133

–––––

21452157

–2211

––––––––

2100213021442203

–––––––

2229––

2249–

23052325233723442357

21302200221422332250230523102323233522452257

–2311

––––––––

2200223022442303

–––––––

2329––

2353–

00140034004600530106

London PaddingtonReadingDidcot ParkwaySwindonKembleStroudStonehouseGloucesterCheltenham SpaChippenhamBath SpaBristol ParkwayBristol Temple MeadsWeston-super-MareNewportHerefordCardiff CentralBridgendPort Talbot ParkwayNeathSwansea

2215224522592319

–––––

23322343

–23570018

–––––––

LondonBristol Parkway - Cardiff - SwanseaCheltenham - Bath - Bristol

Sundays from 26 July

ddddaaaaadadaaaaaaaaa

Use the train timetable above to answer these questions:

(a) If you catch the 1915 from London Paddington, at what time would youarrive in Weston-super-Mare?

(b) Ted arrives in Chippenham at 2245. At what time did he leave LondonPaddington?

(c) Tina catches the 2205 at Cardiff Central. At what time does she arrive inNeath?

a: arrives d: departs

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Solution

(a) The 1915 from London Paddingtonarrives at Weston-super-Mare at 2110.

(b) To arrive in Chippenham at 2245 Tedmust have left London Paddingtonat 2130.

(c) The 2205 from CardiffCentral arrives in Neathat 2244.

19151945

–2015

––––––

2035–

20512110

190319351949200920222037204220532108

––––––

19202020

2021

21

London PaddingtonReadingDidcot ParkwaySwindonKembleStroudStonehouseGloucesterCheltenham SpaChippenhamBath SpaBristol ParkwayBristol Temple MeadsWeston-super-MareNewport

London

Sundays from 26 July

ddddaaaaadadaaa

19151945

–2015

––––––

2035–

190319351949200920222037204220532108

–––

1930200320172036

–––––

20492105

2000203020442103

––––-––

2129

2030210021142133

–––––

21452157

2100213021442203

–––––––

2229

21302200221422332250230523102323233522452257

22222223

23

London PaddingtonReadingDidcot ParkwaySwindonKembleStroudStonehouseGloucesterCheltenham SpaChippenhamBath SpaBristol Parkway

Sundays from 26 July

ddddaaaaadad

19151945

–2015

––––––

2035–

20512110

–––––––

190319351949200920222037204220532108

––––––––––––

1930200320172036

–––––

20492105

–2117

––––––––

2000203020442103

––––-––

2129––

2149–

22052225223722442257

2222

22

2

London PaddingtonReadingDidcot ParkwaySwindonKembleStroudStonehouseGloucesterCheltenham SpaChippenhamBath SpaBristol ParkwayBristol Temple MeadsWeston-super-MareNewportHerefordCardiff CentralBridgendPort Talbot ParkwayNeathSwansea

Sundays from 26 July

ddddaaaaadadaaaaaaaaa

14.4

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Exercises1. The table below gives the timetable for a ski train that runs from London

Waterloo International:

(a) At what time does the train leave Ashford International?

(b) At what time does the train arrive at Bourg-St-Maurice?

(c) Where does the train arrive at 1657?

(d) John arrives at London Waterloo International at five past nine.Can he catch the train?

2. The timetable below gives the times of early morning trains from Norwichto London Liverpool Street:

(a) At what time does the 0630 from Norwich arrive at Liverpool Street?

(b) Jason arrives by train at Liverpool street at 0903. At what time did hecatch the train at Diss?

(c) If you catch the 0655 from Norwich, at what time do you arrive atIpswich?

(d) Alex arrives at Ipswich station at 0900 and catches the next train toLiverpool Street. At what time does he arrive at Liverpool Street?

(e) Scott catches the 0612 at Ipswich. At what time does he arrive atManningtree?

London Waterloo International depart 0857

Ashford International depart 1006

Moûtiers arrive 1657

Aime la Plagne arrive 1723

Bourg-St-Maurice arrive 1742

0500051805310541054305530604.......0653

0520

.......05530553.......0610.......070

0530054705580610061206200632.......0721

0600061806300641064206520704.......0756

0630064706580709071007210732.......0826

06550713072507360737....................0848

0710072807400751075208020812.......0903

0755..............08280830.....................0933

08050823083508460847.......0906.......0955

0835085209030913091509250935.......1025

09050922093309440945.......100310201054

NORWICHDissStowmarketIPSWICH

ManningtreeCOLCHESTERChelmsfordLIVERPOOLSTREET

DepDepDepArrDepDepDepDepArr

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3. The timetable below gives information about trains from London Waterlooto Paris:

05080616..............0923

061907190856.......1023

07230823..............1123

0753.....................1147

08230923..............1223

0853..............11501253

09531053..............1353

1023.....................1417

1053.....................1453

1157.......1429.......1556

Waterloo InternationalAshford InternationalCalais-FréthunLille EuropeParis Nord

(a) Scott arrives in Paris at 1123. At what time did he leave Waterloo?

(b) Chelsea arrives in Paris at 1223. At what time did she leave Ashford?

(c) Jai wants to go from Waterloo to Lille Europe. Which train should hecatch?

(d) Halim wants to arrive in Calais-Fréthun before 9:00 a.m. Which trainshould he catch?

4. Mike is in Brussels and wants to return to Ashford. He looks at this traintimetable:

0856093709381047

1102114211411247

1302134213411447

1456153615361639

1702174217411843

1756183618371939

1856193619382039

21022142.......2239

Brussels MidiLille EuropeAshford InternationalWaterloo International

Brussels to Waterloo

(a) At what time should he catch a train if he wants to arrive in Ashfordat 1741?

(b) Which train should he avoid if he wants to go to Ashford?

(c) If he catches the 1456, at what time does he arrive in Ashford?

(d) He catches the 1456, but falls asleep and does not get off at Ashford.At what time does he get to Waterloo?

5. Use the following timetable to answer these questions:

(a) Rachel catches the 1600 at Reading. At what time does she arrive inBristol?

(b) Emma catches the 1330 at London Paddington. At what time does shearrive in Bristol?

(c) Hannah arrives in Newport at 1545. At what time did she leaveReading?

(d) Ben arrives at Neath at 1451. At what time did he leave Swindon?

14.4

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120012301244130313201335134013531409

––

1329––

1349–

14121432144414511504

1230130113141333

–––––

13461358

–14121432

–––––––

13001330

–1358

–––––––

1424––

1445160515081528154015471559

1330140314171437

–––––

14491501

–15151543

–––––––

14001430

–1458

–––––––

1524––

1545172016081628164016471659

14301500151415331559161416191632164415451557

–16111651

–––––––

1500153015441603

–––––––

1629––

1649182017051725173717441757

London PaddingtonReadingDidcot ParkwaySwindonKembleStroudStonehouseGloucesterCheltenham SpaChippenhamBath SpaBristol ParkwayBristol Temple MeadsWeston-super-MareNewportHerefordCardiff CentralBridgendPort Talbot ParkwayNeathSwansea

1530160016141633

–––––

16451701

–17131751

–––––––

LondonBristol Parkway - Cardiff - SwanseaCheltenham - Bath - Bristol

Sundays from 26 July

ddddaaaaadadaaaaaaaaa

11521222

–1252

––––––––

1324––––––––

6.

–––––––––

08300857

––

0910091609210939095310061040

––––

1135133113001213

––––––––––––––––

081508290843

––

0929094510041034123112001115

––––––––––––––––

0800081408280902

––––

1000113111001043

–––––––––

0844091009400946095810041009102209581045

––

1132––

1226143113301305

–––––––––

0844091009400946095810041009102209581045

–––––

1227143113301305

0832––

0855090709240932094309551020105010151021110310411046112410431148

–––––

1316151114301359

–––––––––

10421108105911051121

––

1140–

12301312

––––

1424––

1500

09260937094809551007102410321043105511231150114011451203

––

122412381252

––

1338––

1432163116001514

PenzanceSt ErthCamborneRedruthTruroSt AustellParBodmin ParkwayLiskeardPlymouthTotnesPaigntonTorquayNewton AbbotTeignmouthDawlishExeter St DavidsTiverton ParkwayTauntonBristol Temple MeadsCastle CaryWestburyPewseyNewburyReadingGatwick AirportHeathrow Terminal 1London Paddington

09260937094809551007102410321043105511231150114011451203

––

1224123812521325

––––

1430163115301514

LondonPenzance - Plymouth - Torbay -Exeter - Taunton - Reading

Sundays

dddddddddddddddddddadddaaaaa

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Use the timetable to answer these questions:

(a) David catches the 0939 at Exeter St Davids. At what time does hearrive in London?

(b) Stewart arrives in London at 1514. At what time did he leave St Erth?

(c) Helen wants to travel from Camborne to Plymouth. What is theearliest time she can get there by train?

(d) Misha arrives in Reading at 1432. At what time did she leave Truro?

7. Use the following bus timetable to answer these questions:

(a) What bus should you catch from Glasgow to be at Clydebank by1:00 p.m?

(b) You arrive at the bus stop in Tarbet at 1300. At what time could youarrive in Connel?

(c) If you leave Glasgow at 1000, at what time will you arrive in Oban?

(d) If you catch the 1233 bus from Anniesland, where will you get offthe bus in Dalmally?

GLASGOWHillheadGartnavelAnnieslandDrumchapelClydebankDumbartonBallochLussTarbetArrocharCairndowINVERARAY arrINVERARAY depTYNDRUM arrTYNDRUM depDalmallyDalmallyTaynuiltConnelOBAN

Buchanan Bus StnGt Western Rd at Kersland St

Gt Western Rd Bus StopCross

Drumry RoundaboutGt Western Rd at Kilbowie Rd

Barloan TollLayby near Roundabout

BypassHotel

Braeside StoresWar Memorial

Front StreetFront StreetLittle ChefLittle Chef

opp Glen Orchy Hotelopp Police Station

HotelBypass at BridgeRailway Station

08150825082908330841084408550900091109210925094410001010

––

1035–

105411041115

1000101010151019102610291043104811001111

––––

1200––––––

12151225122912331241124412551300131113211325134414051415

––

1440–

145915091520

18001810181418181826182918401845185619061910192819451955

––

2020–

203920492100

–––––––––––––––

1215–

1233125213041315

14.4

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8. This timetable gives the times of departures of the ferry between Penzanceand St Mary's on the Isles of Scilly, for 1998.

Mondays to Fridays, daily

Sundays only

Saturdays only

Monday, Wednesday, Friday, Saturday

Depart Penzance 0915Depart St Mary's 1630

Depart Penzance 0915Depart St Mary's 1630

Depart Penzance 1100Depart St Mary's 1500

Depart Penzance 0630 and 1345Depart St Mary's 0945 and 1700

Depart Penzance 0915Depart St Mary's 1630

Depart Penzance 0915Depart St Mary's 1630

6 April to 2 October

4 April to 2 May11 July

9 May & 16 May6 June to 4 July

5 Sept to 3 October

23 May & 30 May18 July to 29 August

30 August

5 October to 31 October

(a) What was the date of the only Sunday in 1998 on which you couldcatch the ferry?

(b) At what time did the ferry leave Penzance on Saturday 6 June?

(c) At what time did the ferry leave St Mary's on Wednesday 14October?

(d) Was there a ferry on Thursday 15 October?

(e) On how many days were there two return journeys instead of theusual one?

9. The table gives the flight numbers and times of flights to and from the Islesof Scilly from Newquay, Plymouth and Southampton.

5Y2015Y2035Y2055Y207

5Y301

5Y501

0930100014451745

1335

1000

TWThM FS

M W FST Th

M W F

M F

5Y2005Y2025Y2045Y206

5Y300

5Y500

0830090013301630

1220

0800

TWThM FS

M W FST Th

M W F

M FSouthampton (Flight time 90 mins)

Plymouth (Flight time 45 mins)

Newquay (Flight time 30 mins)

From ISLES OF SCILLYTo ISLES OF SCILLY

M - Mon, T - Tues, W - Wed, Th - Thurs, F - Fri, S - Sat, Su - Sun

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Days1 = Monday2 = Tuesday3 = Wednesday4 = Thursday5 = Friday6 = Saturday7 = Sunday

14.4

The left hand side of the table gives flights to the Isles of Scilly and the righthand side gives flights from the Isles of Scilly.

(a) On which days can you fly from Southampton to the Isles of Scilly?

(b) On which day are there no flights from any of these airports to theIsles of Scilly?

(c) If you catch the 1000 from Newquay, at what time do you arrive inthe Isles of Scilly?

(d) Khan arrives in the Isles of Scilly at 1130. Where did he fly from?

(e) What is the latest time that you could land in the Isles of Scilly?

10. The following timetable gives details of flights from the Isle of Man toHeathrow:

Isle of Man to London Heathrow

Flight Number

JE301JE301JE301JE305JE307JE309JE311JE311JE311JE307JE313

Operation Dates

30SEP - 16OCT9819OCT - 24OCT9817OCT - 17OCT9830SEP - 23OCT9830SEP - 23OCT9804OCT - 18OCT9803OCT - 10OCT9824OCT - 24OCT9817OCT - 17OCT9825OCT - 25OCT9825OCT - 25OCT98

Days

123456-123456- - - - - - 6-12345 - -12345 - 7 - - - - - - 7 - - - - - 6 - - - - - - 6 - - - - - - 6 -- - - - - - 7- - - - - - 7

Routes

IOM - LHRIOM - LHRIOM - LHRIOM - LHRIOM - LHRIOM - LHRIOM - LHRIOM - LHRIOM - LHRIOM - LHRIOM - LHR

Depart - Arrive

0700 - 08150700 - 08150700 - 08151440 - 15401755 - 19000740 - 09001755 - 18551755 - 18551755 - 18551755 - 19001040 - 1200

(a) What is the flight number of the plane that arrives at Heathrowat 0900, and on which day?

(b) On which day does the 1755 flight have the shortest journey time?

(c) How many flights are there to Heathrow on Sunday 25 October?

(d) What is the earliest departure time on Wednesday 21 October?

(e) What is the latest arrival time on Saturday 10 October?

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14.5 Time Problems in ContextIn this section we consider further problems involving time, travel and also ratesof pay.

Example 1

The timetable below gives the times of buses from Glasgow to Edinburgh:

GLASGOWEurocentralHarthillNewbridge EastRathoIngliston ShowgroundCorstorphineCorstorphineCorstorphineMurrayfieldEdinburghEdinburghEDINBURGH

Buchanan Bus StnGt A8 Interchange

Service AreaA8 opp RACALSation Road End

West EntranceDrum Brae

Station Road EndZoo Park

Corstorphine Rd, Ice RinkHaymarket

Shandwick PlaceSt Andrew Sq Bus Station

1445–

15101531153215341538154015421545154815501555

1500–

15251546154715491553155515571600160316051610

1515–

15401601160216041608161016121615161816201625

1530155016001621162216241628163016321635163816401645

1545–

16101631163216341638164016421645164816501655

(a) How long does it take for the 1500 from Glasgow to get to Ratho?

(b) How long does it take for the 1545 from Glasgow to get to EdinburghHaymarket?

(c) How long does it take the 1540 from Harthill to get to Murrayfield?

Solution

(a) The 1500 arrives at Ratho at 1547.

This is 47 minutes later than 1500, so the journey takes 47 minutes.

(b) The journey starts at 1545 and ends at 1648.

From 1545 to 1600 is 15 minutes.

From 1600 to 1648 is 48 minutes.

The total time is 15 48 63+ = minutes or 1 hour 3 minutes.

(c) The journey starts at 1540 and ends at 1615.

From 1540 to 1600 is 20 minutes.

From 1600 to 1615 is 15 minutes.

The total time is 20 15 35+ = minutes .

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Example 2

The table gives the time differences between the UK and some other countries:

(a) What time is it in Austria when it is 3.00 p.m. in the UK?

(b) What time is it in Samoa when it is 5.00 p.m. in the UK?

(c) When it is 5.00 p.m. in Tanzania, what time is it in the UK?

(d) If it is 4.00 p.m. in Honduras, what time is it in Tanzania?

Solution

(a) In Austria the time is 1 hour ahead of the UK, so it will be 4.00 p.m.

(b) In Samoa the time is 11 hours ahead of the UK, so it will be 4.00 a.m. thenext day.

(c) In Tanzania the time is 3 hours ahead of the UK, so it will be 2.00 p.m.

(d) In Honduras the time is 6 hours behind the UK.

In the UK the time will be 10.00 p.m.

In Tanzania the time is 3 hours ahead of the UK, so it will be 1.00 a.m.

Exercises1. The timetable below gives the times of some buses from Glasgow to

Edinburgh:

GLASGOWEurocentralHarthillNewbridge EastRathoIngliston ShowgroundCorstorphineCorstorphineCorstorphineMurrayfieldEdinburghEdinburghEDINBURGH

Buchanan Bus StnGt A8 Interchange

Service AreaA8 opp RACAL

Station Road EndWest Entrance

Drum BraeStation Road End

Zoo ParkCorstorphine Rd, Ice Rink

HaymarketShandwick Place

St Andrew Sq Bus Station

1015–

10401101110211041108111011121115111811201125

1030–

10551116111711191123112511271130113311351140

1045–

11101131113211341138114011421145114811501155

1100–

11251146114711491153115511571200120312051210

1115–

11401201120212041208121012121215121812201225

Austria 1 hour ahead

Honduras 6 hours behind

Samoa 11 hours ahead

Tanzania 3 hours ahead

14.5

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Use the timetable to answer these questions:

(a) You catch the 1030 from Glasgow. How long will it take to get toHarthill?

(b) You catch the 1100 from Glasgow. How long does it take to get toRatho?

(c) You catch the bus at Harthill and arrive in Edinburgh at 1225. Howlong did the journey take?

(d) You arrive in Edinburgh at 1210, having travelled from Harthill. Howlong did the journey take?

(e) Do all the buses take the same time to get from Glasgow toEdinburgh?

2. The timetable below is for the Eurostar train that travels from DisneylandParis (France) to Waterloo:

How long is the journey time from Disneyland to:

(a) Ashford International,

(b) Waterloo International?

(Note that France is 1 hour ahead of UK time.)

3. The timetable below is for the North York Moors Railway.

dep.arr.dep.

arr.dep.arr.

GrosmontGoatlandGoatlandNewtondaleLevishamLevishamPickering

0950100510101023103610401100

1050110511101123113611401200

1150120512101223123612401300

1250130513101323133613401400

1350140514101423143614401500

1450150515101523153615401600

1550160516101623163616401700

1650170517101723173617401800

(a) Do all the journeys take the same time?

(b) For how long do the trains stay at Goathland?

(c) How long does it take to get from Grosmont to Newtondale?

(d) How long does it take to get from Grosmont to Levisham?

(e) For how long do the trains stay at Levisham?

Disneyland Paris to Waterloo

Disneyland Paris 1935

Ashford International 2037

Waterloo International 2139

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4. Use the timetable below to answer the questions which follow:

Londondddddddddddddaadddddddddda

11451210

––

12561313

–1335134814041423142914371448150014541523155216041615162316411653170017111722

12351300

––

1346––

1423150214501537154315121616162315261558162816381652165817161731173817511805

13351400

––

14451503

–1529154216001646165116201711171716341705172917411847175718151827183418461900

15351605

––

1650––

1726173817541829183418141835184118291902192619411953200120192031203820512107

163517051721174018021819

–1841185319091921192619331955200019472020

–––––––––

17001730

–1855

––––––––––––––––––––––

London PaddingtonReadingNewburyPewseyWestburyCastle CaryBristol Temple MeadsTauntonTiverton ParkwayExeter St DavidsDawlishTeignmouthNewton AbbotTorquayPaigntonTotnesPlymouthLiskeardBodmin ParkwayParSt AustellTruroRedruthCamborneSt ErthPenzance

Saturdays

11351200

–––––––

133714031409141514261433

–143615021514

–153015481600

–16141630

(a) How long does it take for the 1635 from London Paddington to get toPlymouth?

(b) Adrian catches a train at 2:00 pm at Reading. How long does it takehim to get to Truro?

(c) Sam catches the last train from Totnes to Penzance. How long doeshis journey take?

(d) Clare catches the 1445 from Westbury to Plymouth. At what timedoes she arrive in Plymouth?

(e) Which train has the shortest journey time from London to Penzance?

5. The timetable below is for the overnight ski train from London to theFrench Alps:

London Waterloo International (Friday) depart 1957

Ashford International (Friday) depart 2107

Moûtiers (Saturday) arrive 0552

Aime la Plagne (Saturday) arrive 0625

Bourg-St-Maurice (Saturday) arrive 0645

14.5

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How long does it take to travel:

(a) from Waterloo to Moûtiers,

(b) from Ashford to Aime la Plagne,

(c) from Waterloo to Bourg-St-Maurice?

6. Use the information given in Example 2 to answer these questions:

(a) What will be the time in Honduras when it is 7:00 am in the UK?

(b) What will be the time in the UK when it is 7:00 pm in Honduras?

(c) What is the time in Tanzania when it is 10:00 pm in the UK?

(d) What is the time in the UK when it is 10:00 pm in Samoa?

7. The flight from London to Stockholm (Sweden) takes 2 12 hours. The time

in Sweden is 1 hour ahead of the UK.

(a) If you leave London at 1000, what will be the local time when youland at Stockholm?

(b) If you leave Stockholm at 1745, what will be the local time when youland in London?

8. A flight leaves Kuala Lumpur at 1100 and lands in London at 1710. Thetime in Kuala Lumpur is 8 hours ahead of the time in London. How longdoes the flight take?

9. Shainee earns £4 per hour on weekdays, £4.50 per hour on Saturdays and£6 per hour on Sundays.

The table below lists the hours he worked on each day of one week:

How much money did Shainee earn that week?

10. Ben earns £5 per hour for the first 40 hours he works and £7.50 per hour forany hours of overtime. One week he earned £290. How many hoursovertime did he work?

Day No. hours worked

Monday 4

Tuesday 2

Wednesday 8

Thursday 10

Friday 3

Saturday 5

Sunday 2